What is the smallest integer greater than 0 that can be written entirely with zeros and ones and is evenly divisible by 225?

(In reply to re: Idea by Lyman Hurd)

First, note that the number is 225, not 255.

But, more to the gist of the question, I think it only fair to the puzzle poser, that the base should be the same as the base of the number posted there. That being 225, it precludes any base lower than 6. Perhaps interesting variations can in fact be found in other bases, but then you should consider the 225 as being written in that base as well. So base 6 might be a good place to start, that is to find the smallest number in base six representable by all zeros and ones that represents a multiple of 225(base 6) or 89(decimal). Surely this is a more interesting problem than merely writing 225 in binary.

Posted by Charlie on 2003-04-08 09:59:53